208966735980 has 384 divisors, whose sum is σ = 721271900160. Its totient is φ = 49958092800.

The previous prime is 208966735979. The next prime is 208966736029. The reversal of 208966735980 is 89537669802.

It is a super-2 number, since 2×208966735980² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 54261055 + ... + 54264905.

It is an arithmetic number, because the mean of its divisors is an integer number (1878312240).

Almost surely, 2^208966735980 is an apocalyptic number.

208966735980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208966735980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360635950080).

208966735980 is an abundant number, since it is smaller than the sum of its proper divisors (512305164180).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

208966735980 is a wasteful number, since it uses less digits than its factorization.

208966735980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4166 (or 4158 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 208966735980 in words is "two hundred eight billion, nine hundred sixty-six million, seven hundred thirty-five thousand, nine hundred eighty".